Metrics for logq (problem 3.4.3)

analyze3.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
0%	0%	50%	50%	0%	0%	0%	2
50%	25%	25%	50%	0%	0%	0%	3
75%	37.5%	12.5%	50%	0%	0%	0%	4
87.5%	43.7%	6.2%	50%	0%	0%	0%	5
93.8%	46.8%	3.1%	50%	0%	0%	0%	6
96.9%	48.4%	1.6%	50%	0%	0%	0%	7
98.4%	49.2%	0.8%	50%	0%	0%	0%	8
99.2%	49.6%	0.4%	50%	0%	0%	0%	9
99.6%	49.8%	0.2%	50%	0%	0%	0%	10
99.8%	49.9%	0.1%	50%	0%	0%	0%	11
99.9%	49.9%	0%	50%	0%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample3.0s (45.8%)

Memory

-118.0MiB live, 2 960.7MiB allocated

Samples

1.3s	3 087×	2	valid
1.1s	4 884×	1	valid
23.0ms	285×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-log: 1.3s (62.1% of total)

adjust: 237.0ms (11% of total)

ival-div: 188.0ms (8.8% of total)

ival-sub: 153.0ms (7.1% of total)

ival-add: 107.0ms (5% of total)

ival-<: 63.0ms (2.9% of total)

ival-fabs: 55.0ms (2.6% of total)

exact: 6.0ms (0.3% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

preprocess35.0ms (0.5%)

Memory

11.3MiB live, 46.7MiB allocated

Algorithm

1×	egg-herbie

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
128×	`lower-*.f64`
128×	`lower-*.f32`
84×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	22	17
2	44	17
3	89	17
4	158	17
5	326	17
6	593	17
7	616	17
0	6	8
0	10	8
1	18	8
2	24	8
3	35	8
4	58	8
5	92	8
6	129	8
7	202	8
8	322	8
9	492	8
10	528	8
0	528	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Outputs
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

explain241.0ms (3.7%)

Memory

0.1MiB live, 235.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
256	-	-	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
0	-	-	`(+.f64 #s(literal 1 binary64) eps)`
0	-	-	`eps`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`
0	-	-	`(-.f64 #s(literal 1 binary64) eps)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`	sensitivity	256	0

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	256	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

102.0ms	178×	2	valid
82.0ms	314×	1	valid
1.0ms	20×	0	valid

Compiler

Compiled 68 to 28 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-log: 130.0ms (79.1% of total)

adjust: 11.0ms (6.7% of total)

ival-div: 10.0ms (6.1% of total)

ival-add: 6.0ms (3.6% of total)

ival-sub: 6.0ms (3.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.4%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify20.0ms (0.3%)

Memory

-33.6MiB live, 9.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 #s(literal 1 binary64) eps)
✓	cost-diff	(-.f64 #s(literal 1 binary64) eps)
✓	cost-diff	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
✓	cost-diff	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
128×	`lower-*.f64`
128×	`lower-*.f32`
78×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	18	23
2	24	23
3	35	23
4	58	23
5	92	23
6	129	23
7	202	23
8	322	23
9	492	23
10	528	23
0	528	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
(-.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(+.f64 #s(literal 1 binary64) eps)

Outputs
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
(-.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(+.f64 #s(literal 1 binary64) eps)

localize75.0ms (1.2%)

Memory

31.3MiB live, 107.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) eps)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) eps)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
✓	accuracy	8.5%	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Samples

35.0ms	89×	2	valid
29.0ms	157×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-log: 38.0ms (70% of total)

adjust: 6.0ms (11.1% of total)

ival-div: 4.0ms (7.4% of total)

ival-add: 3.0ms (5.5% of total)

ival-sub: 3.0ms (5.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))>
#<alt (-.f64 #s(literal 1 binary64) eps)>
#<alt (+.f64 #s(literal 1 binary64) eps)>

Outputs
#<alt (* -2 eps)>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))>
#<alt (log -1)>
#<alt (- (log -1) (* 2 (/ 1 eps)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))>
#<alt (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))>
#<alt (log -1)>
#<alt (- (log -1) (* 2 (/ 1 eps)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))>
#<alt 1>
#<alt (+ 1 (* -2 eps))>
#<alt (+ 1 (* eps (- (* 2 eps) 2)))>
#<alt (+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))>
#<alt -1>
#<alt (- (* 2 (/ 1 eps)) 1)>
#<alt (- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2))))>
#<alt (- (+ (* 2 (/ 1 eps)) (* 2 (/ 1 (pow eps 3)))) (+ 1 (/ 2 (pow eps 2))))>
#<alt -1>
#<alt (- (* 2 (/ 1 eps)) 1)>
#<alt (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)>
#<alt 1>
#<alt (+ 1 (* -1 eps))>
#<alt (+ 1 (* -1 eps))>
#<alt (+ 1 (* -1 eps))>
#<alt (* -1 eps)>
#<alt (* eps (- (/ 1 eps) 1))>
#<alt (* eps (- (/ 1 eps) 1))>
#<alt (* eps (- (/ 1 eps) 1))>
#<alt (* -1 eps)>
#<alt (* -1 (* eps (- 1 (/ 1 eps))))>
#<alt (* -1 (* eps (- 1 (/ 1 eps))))>
#<alt (* -1 (* eps (- 1 (/ 1 eps))))>
#<alt 1>
#<alt (+ 1 eps)>
#<alt (+ 1 eps)>
#<alt (+ 1 eps)>
#<alt eps>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt eps>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(log (/ (- 1 eps) (+ 1 eps)))
0.0ms	eps	@	inf	(log (/ (- 1 eps) (+ 1 eps)))
0.0ms	eps	@	-inf	(log (/ (- 1 eps) (+ 1 eps)))
0.0ms	eps	@	inf	(/ (- 1 eps) (+ 1 eps))
0.0ms	eps	@	inf	(- 1 eps)

rewrite198.0ms (3%)

Memory

-24.4MiB live, 331.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 220×	`lower-fma.f64`
2 220×	`lower-fma.f32`
2 058×	`lower-*.f64`
2 058×	`lower-*.f32`
1 842×	`lower-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	21
0	10	21
1	44	21
2	328	21
3	4559	8
0	10096	8

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 304

Calls

Call 1

Inputs
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
(-.f64 #s(literal 1 binary64) eps)
(+.f64 #s(literal 1 binary64) eps)

Outputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(exp.f64 (log1p.f64 eps))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 eps)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) eps)
(+.f64 #s(literal 1 binary64) (neg.f64 eps))
(+.f64 eps #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(+.f64 (neg.f64 eps) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))) (neg.f64 (/.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (fma.f64 eps eps eps)))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (fma.f64 eps eps eps)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (fma.f64 eps eps #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) eps))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)))) (.f64 (fma.f64 eps eps eps) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)))))
(+.f64 (.f64 (fma.f64 eps eps eps) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)))))
(+.f64 (.f64 (fma.f64 eps eps #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)))) (.f64 eps (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) eps)
(-.f64 #s(literal 1 binary64) (neg.f64 eps))
(-.f64 #s(literal 0 binary64) (+.f64 eps #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))) (/.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))))
(-.f64 (/.f64 (*.f64 eps eps) (+.f64 eps #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(fma.f64 #s(literal 1 binary64) (neg.f64 eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))) (neg.f64 (/.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (.f64 (fma.f64 eps eps eps) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))))
(fma.f64 eps #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 eps #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(fma.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))) (-.f64 #s(literal 1 binary64) (.f64 eps eps))) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(fma.f64 (fma.f64 eps eps eps) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(fma.f64 (neg.f64 eps) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (.f64 eps eps))) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 eps) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 eps eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) eps) (neg.f64 (/.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(fma.f64 (fma.f64 eps eps #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (.f64 eps (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) (neg.f64 (/.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))) (neg.f64 (/.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (fma.f64 eps eps eps)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (fma.f64 eps eps eps) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (fma.f64 eps eps #s(literal 1 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) eps))
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(.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))))
(.f64 (/.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 (fma.f64 eps eps eps) (*.f64 (fma.f64 eps eps eps) (fma.f64 eps eps eps)) #s(literal 1 binary64))) (fma.f64 (fma.f64 eps eps eps) (-.f64 (fma.f64 eps eps eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 eps eps eps) (fma.f64 eps eps eps)))) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps))))

simplify372.0ms (5.7%)

Memory

1.9MiB live, 396.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 508×	`lower-fma.f64`
8 508×	`lower-fma.f32`
3 488×	`lower-*.f64`
3 488×	`lower-*.f32`
1 504×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	295
1	220	282
2	488	274
3	1301	270
4	2859	270
5	6046	270
0	8576	258

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

Inputs
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
1
(+ 1 (* -2 eps))
(+ 1 (* eps (- (* 2 eps) 2)))
(+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))
-1
(- (* 2 (/ 1 eps)) 1)
(- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2))))
(- (+ (* 2 (/ 1 eps)) (* 2 (/ 1 (pow eps 3)))) (+ 1 (/ 2 (pow eps 2))))
-1
(- (* 2 (/ 1 eps)) 1)
(- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)
1
(+ 1 (* -1 eps))
(+ 1 (* -1 eps))
(+ 1 (* -1 eps))
(* -1 eps)
(* eps (- (/ 1 eps) 1))
(* eps (- (/ 1 eps) 1))
(* eps (- (/ 1 eps) 1))
(* -1 eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(* -1 (* eps (- 1 (/ 1 eps))))
(* -1 (* eps (- 1 (/ 1 eps))))
1
(+ 1 eps)
(+ 1 eps)
(+ 1 eps)
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))

Outputs
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -2/7 binary64) #s(literal -2/5 binary64))) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) eps))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2/5 binary64) (.f64 eps eps))) (.f64 eps eps))) eps))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) eps))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2/5 binary64) (.f64 eps eps))) (.f64 eps eps))) eps))
1
#s(literal 1 binary64)
(+ 1 (* -2 eps))
(fma.f64 #s(literal -2 binary64) eps #s(literal 1 binary64))
(+ 1 (* eps (- (* 2 eps) 2)))
(fma.f64 eps (fma.f64 eps #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))
(fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -2 binary64) eps #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 eps)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) eps))
(- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2))))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) eps)) eps))
(- (+ (* 2 (/ 1 eps)) (* 2 (/ 1 (pow eps 3)))) (+ 1 (/ 2 (pow eps 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) eps)) eps)) eps))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 eps)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) eps))
(- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) eps)) eps))
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) eps)) eps)) eps))
1
#s(literal 1 binary64)
(+ 1 (* -1 eps))
(-.f64 #s(literal 1 binary64) eps)
(+ 1 (* -1 eps))
(-.f64 #s(literal 1 binary64) eps)
(+ 1 (* -1 eps))
(-.f64 #s(literal 1 binary64) eps)
(* -1 eps)
(neg.f64 eps)
(* eps (- (/ 1 eps) 1))
(-.f64 #s(literal 1 binary64) eps)
(* eps (- (/ 1 eps) 1))
(-.f64 #s(literal 1 binary64) eps)
(* eps (- (/ 1 eps) 1))
(-.f64 #s(literal 1 binary64) eps)
(* -1 eps)
(neg.f64 eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(-.f64 #s(literal 1 binary64) eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(-.f64 #s(literal 1 binary64) eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(-.f64 #s(literal 1 binary64) eps)
1
#s(literal 1 binary64)
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
eps
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))
eps
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))

eval64.0ms (1%)

Memory: 33.2MiB live, 71.1MiB allocated
Compiler: Compiled 8 254 to 976 computations (88.2% saved)

prune48.0ms (0.7%)

Memory

-41.8MiB live, 93.5MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	346	4	350
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	347	4	351

Accuracy

100.0%

Counts

351 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
▶	100.0%	(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
▶	99.0%	(*.f64 #s(literal -2 binary64) eps)
▶	5.3%	#s(literal 0 binary64)

Compiler

Compiled 29 to 20 computations (31% saved)

simplify11.0ms (0.2%)

Memory

22.3MiB live, 22.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
✓	cost-diff	(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
✓	cost-diff	(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))
✓	cost-diff	(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
✓	cost-diff	(*.f64 eps #s(literal -2/3 binary64))
✓	cost-diff	(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
✓	cost-diff	(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
✓	cost-diff	(*.f64 #s(literal -2 binary64) eps)

Rules

232×	`lower-fma.f32`
226×	`lower-fma.f64`
144×	`lower-*.f32`
132×	`lower-*.f64`
74×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	71
0	26	71
1	57	71
2	92	71
3	161	71
4	222	71
5	228	71
6	232	71
0	232	71

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) eps)
#s(literal -2 binary64)
eps
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
eps
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(*.f64 eps #s(literal -2/3 binary64))
#s(literal -2/3 binary64)
#s(literal -2 binary64)
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
eps
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(*.f64 eps #s(literal -2/5 binary64))
#s(literal -2/5 binary64)
#s(literal -2/3 binary64)
#s(literal -2 binary64)

Outputs
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) eps)
#s(literal -2 binary64)
eps
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
eps
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(*.f64 eps #s(literal -2/3 binary64))
#s(literal -2/3 binary64)
#s(literal -2 binary64)
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
eps
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(*.f64 eps #s(literal -2/5 binary64))
#s(literal -2/5 binary64)
#s(literal -2/3 binary64)
#s(literal -2 binary64)

localize57.0ms (0.9%)

Memory

4.4MiB live, 81.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
✓	accuracy	100.0%	(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
✓	accuracy	99.5%	(*.f64 eps #s(literal -2/5 binary64))
✓	accuracy	99.5%	(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
✓	accuracy	100.0%	(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
✓	accuracy	100.0%	(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
✓	accuracy	99.5%	(*.f64 eps #s(literal -2/3 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) eps)

Samples

39.0ms

256×

valid

Compiler

Compiled 81 to 19 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 14.0ms (53.5% of total)

const: 8.0ms (30.6% of total)

ival-add: 3.0ms (11.5% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

-28.9MiB live, 9.7MiB allocated

Counts

9 → 108

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal -2 binary64) eps)>
#<alt (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))>
#<alt (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))>
#<alt (*.f64 eps #s(literal -2/3 binary64))>
#<alt (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))>
#<alt (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))>
#<alt (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))>
#<alt (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))>
#<alt (*.f64 eps #s(literal -2/5 binary64))>

Outputs
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* -2/3 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -2/3 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt -2>
#<alt (- (* -2/3 (pow eps 2)) 2)>
#<alt (- (* -2/3 (pow eps 2)) 2)>
#<alt (- (* -2/3 (pow eps 2)) 2)>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2/3 eps)>
#<alt (* -2 eps)>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))>
#<alt (* -2/5 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* -2/5 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))>
#<alt (* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))>
#<alt -2>
#<alt (- (* -2/3 (pow eps 2)) 2)>
#<alt (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)>
#<alt (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)>
#<alt (* -2/5 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* -2/5 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* -2/3 eps)>
#<alt (* eps (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* eps (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* eps (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* -2/5 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -2/5 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt -2/3>
#<alt (- (* -2/5 (pow eps 2)) 2/3)>
#<alt (- (* -2/5 (pow eps 2)) 2/3)>
#<alt (- (* -2/5 (pow eps 2)) 2/3)>
#<alt (* -2/5 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -2/5 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	inf	(* eps -2/5)
1.0ms	eps	@	0	(* eps (+ (* eps (* eps (+ (* eps (* eps -2/5)) -2/3))) -2))
1.0ms	eps	@	inf	(* eps (+ (* eps (* eps -2/3)) -2))
1.0ms	eps	@	inf	(* eps (+ (* eps (* eps (+ (* eps (* eps -2/5)) -2/3))) -2))
0.0ms	eps	@	0	(* eps (+ (* eps (* eps -2/3)) -2))

rewrite313.0ms (4.8%)

Memory

16.9MiB live, 447.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 870×	`lower-fma.f32`
6 864×	`lower-fma.f64`
4 904×	`lower-*.f32`
4 892×	`lower-*.f64`
2 322×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	61
0	25	61
1	95	61
2	595	61
3	5747	61
0	8100	61

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

9 → 410

Calls

Call 1

Inputs
(*.f64 #s(literal -2 binary64) eps)
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(*.f64 eps #s(literal -2/3 binary64))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(*.f64 eps #s(literal -2/5 binary64))

Outputs
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps #s(literal -2 binary64))
(+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 eps (.f64 eps (.f64 eps #s(literal -2/3 binary64)))))
(+.f64 (.f64 eps (.f64 eps (.f64 eps #s(literal -2/3 binary64)))) (.f64 #s(literal -2 binary64) eps))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 4/9 binary64) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 eps eps)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 eps eps)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))))
(fma.f64 #s(literal -2 binary64) eps (.f64 eps (.f64 eps (*.f64 eps #s(literal -2/3 binary64)))))
(fma.f64 eps #s(literal -2 binary64) (.f64 eps (.f64 eps (*.f64 eps #s(literal -2/3 binary64)))))
(fma.f64 eps (.f64 eps (.f64 eps #s(literal -2/3 binary64))) (*.f64 #s(literal -2 binary64) eps))
(fma.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps eps)) (*.f64 #s(literal -2 binary64) eps))
(fma.f64 (.f64 eps #s(literal -2/3 binary64)) (.f64 eps eps) (*.f64 #s(literal -2 binary64) eps))
(fma.f64 (.f64 eps (.f64 eps #s(literal -2/3 binary64))) eps (*.f64 #s(literal -2 binary64) eps))
(fma.f64 (.f64 eps eps) (.f64 eps #s(literal -2/3 binary64)) (*.f64 #s(literal -2 binary64) eps))
(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64) (*.f64 #s(literal -2 binary64) eps))
(/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8/27 binary64) (.f64 eps (.f64 eps eps)))) (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 (.f64 #s(literal -2 binary64) eps) (-.f64 (.f64 #s(literal -2 binary64) eps) (.f64 eps (.f64 eps (.f64 eps #s(literal -2/3 binary64))))) (.f64 (.f64 #s(literal 4/9 binary64) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 eps eps))))
(/.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8/27 binary64) (.f64 eps (.f64 eps eps)))) (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 #s(literal 4 binary64) (.f64 eps eps) (-.f64 (.f64 (.f64 #s(literal 4/9 binary64) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 eps eps)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 4/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) eps) (-.f64 (.f64 #s(literal -2 binary64) eps) (.f64 eps (.f64 eps (.f64 eps #s(literal -2/3 binary64))))) (.f64 (.f64 #s(literal 4/9 binary64) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 eps eps))) (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8/27 binary64) (.f64 eps (.f64 eps eps)))) (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8 binary64) (.f64 eps (.f64 eps eps))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))) (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4/9 binary64) (.f64 eps eps)) #s(literal 4/3 binary64)) #s(literal 4 binary64)) (.f64 eps (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8/27 binary64) (.f64 eps (*.f64 eps eps))) #s(literal -8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)) (.f64 eps (fma.f64 (.f64 eps eps) (.f64 #s(literal 4/9 binary64) (*.f64 eps eps)) #s(literal -4 binary64)))))
(/.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 eps (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8/27 binary64) (.f64 eps (.f64 eps eps))) #s(literal -8 binary64))) (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4/9 binary64) (*.f64 eps eps)) #s(literal 4/3 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 eps (fma.f64 (.f64 eps eps) (.f64 #s(literal 4/9 binary64) (.f64 eps eps)) #s(literal -4 binary64))) (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8/27 binary64) (.f64 eps (.f64 eps eps)))) (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8 binary64) (.f64 eps (.f64 eps eps))))) (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) eps) (-.f64 (.f64 #s(literal -2 binary64) eps) (.f64 eps (.f64 eps (.f64 eps #s(literal -2/3 binary64))))) (.f64 (.f64 #s(literal 4/9 binary64) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 eps eps)))))
(/.f64 (neg.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))) (neg.f64 (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 eps (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8/27 binary64) (.f64 eps (.f64 eps eps))) #s(literal -8 binary64)))) (neg.f64 (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4/9 binary64) (*.f64 eps eps)) #s(literal 4/3 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (.f64 eps (fma.f64 (.f64 eps eps) (.f64 #s(literal 4/9 binary64) (.f64 eps eps)) #s(literal -4 binary64)))) (fma.f64 (*.f64 eps eps) #s(literal 2/3 binary64) #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 eps eps)) (.f64 (.f64 #s(literal 4/9 binary64) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 eps eps))) (-.f64 (.f64 #s(literal -2 binary64) eps) (.f64 eps (.f64 eps (.f64 eps #s(literal -2/3 binary64))))))
(/.f64 (.f64 eps (neg.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8/27 binary64) (.f64 eps (.f64 eps eps))) #s(literal -8 binary64)))) (neg.f64 (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4/9 binary64) (*.f64 eps eps)) #s(literal 4/3 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 eps (neg.f64 (fma.f64 (.f64 eps eps) (.f64 #s(literal 4/9 binary64) (.f64 eps eps)) #s(literal -4 binary64)))) (fma.f64 (*.f64 eps eps) #s(literal 2/3 binary64) #s(literal -2 binary64)))
(/.f64 (.f64 eps #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
(/.f64 (.f64 eps (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4/9 binary64) (.f64 eps (.f64 eps (.f64 eps eps)))))) (+.f64 #s(literal -2 binary64) (.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8/27 binary64) (.f64 eps (.f64 eps eps))) #s(literal -8 binary64))) eps) (neg.f64 (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4/9 binary64) (*.f64 eps eps)) #s(literal 4/3 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 eps eps) (.f64 #s(literal 4/9 binary64) (.f64 eps eps)) #s(literal -4 binary64))) eps) (fma.f64 (*.f64 eps eps) #s(literal 2/3 binary64) #s(literal -2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4/9 binary64) (.f64 eps (.f64 eps (.f64 eps eps))))) eps) (+.f64 #s(literal -2 binary64) (.f64 (*.f64 eps eps) #s(literal 2/3 binary64))))
(pow.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) eps) (-.f64 (.f64 #s(literal -2 binary64) eps) (.f64 eps (.f64 eps (.f64 eps #s(literal -2/3 binary64))))) (.f64 (.f64 #s(literal 4/9 binary64) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 eps eps))) (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8/27 binary64) (.f64 eps (.f64 eps eps)))) (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8 binary64) (.f64 eps (.f64 eps eps))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))) (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4/9 binary64) (.f64 eps eps)) #s(literal 4/3 binary64)) #s(literal 4 binary64)) (.f64 eps (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8/27 binary64) (.f64 eps (*.f64 eps eps))) #s(literal -8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)) (.f64 eps (fma.f64 (.f64 eps eps) (.f64 #s(literal 4/9 binary64) (*.f64 eps eps)) #s(literal -4 binary64)))) #s(literal -1 binary64))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(.f64 (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)) eps)
(.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8/27 binary64) (.f64 eps (.f64 eps eps))) #s(literal -8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4/9 binary64) (.f64 eps eps)) #s(literal 4/3 binary64)) #s(literal 4 binary64))) eps))
(.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8/27 binary64) (.f64 eps (.f64 eps eps))) #s(literal -8 binary64)) (/.f64 eps (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4/9 binary64) (*.f64 eps eps)) #s(literal 4/3 binary64)) #s(literal 4 binary64))))
(.f64 (fma.f64 (.f64 eps eps) (.f64 #s(literal 4/9 binary64) (.f64 eps eps)) #s(literal -4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))) eps))
(.f64 (fma.f64 (.f64 eps eps) (.f64 #s(literal 4/9 binary64) (.f64 eps eps)) #s(literal -4 binary64)) (/.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8/27 binary64) (.f64 eps (.f64 eps eps)))) (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8 binary64) (.f64 eps (.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -2 binary64) eps) (-.f64 (.f64 #s(literal -2 binary64) eps) (.f64 eps (.f64 eps (.f64 eps #s(literal -2/3 binary64))))) (.f64 (.f64 #s(literal 4/9 binary64) (.f64 eps (.f64 eps (.f64 eps eps)))) (*.f64 eps eps)))))
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 eps (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8/27 binary64) (.f64 eps (.f64 eps eps))) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4/9 binary64) (.f64 eps eps)) #s(literal 4/3 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 eps (fma.f64 (.f64 eps eps) (.f64 #s(literal 4/9 binary64) (.f64 eps eps)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 eps (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8/27 binary64) (.f64 eps (.f64 eps eps))) #s(literal -8 binary64))) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -4/3 binary64) #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -4/3 binary64) #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal -4/3 binary64) #s(literal 4 binary64))) (.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps))))) #s(literal 64/729 binary64)))) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -4/3 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 (.f64 eps eps) #s(literal -4/3 binary64) #s(literal 4 binary64)) (.f64 #s(literal 4/9 binary64) (.f64 eps (.f64 eps (.f64 eps eps))))) (.f64 (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (*.f64 eps eps)))) #s(literal 16/81 binary64))))
(.f64 (/.f64 (.f64 eps (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -8/27 binary64) (.f64 eps (.f64 eps eps))) #s(literal -8 binary64))) (.f64 (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4/9 binary64) (.f64 eps eps)) #s(literal 4/3 binary64)) #s(literal 4 binary64)) (+.f64 (fma.f64 (.f64 eps eps) (.f64 #s(literal 4/9 binary64) (.f64 eps eps)) #s(literal -4 binary64)) (.f64 (.f64 eps eps) #s(literal 4/3 binary64))))) (+.f64 (fma.f64 (.f64 eps eps) (.f64 #s(literal 4/9 binary64) (.f64 eps eps)) #s(literal -4 binary64)) (.f64 (*.f64 eps eps) #s(literal 4/3 binary64))))
(.f64 (/.f64 (.f64 eps (fma.f64 (.f64 eps eps) (.f64 #s(literal 4/9 binary64) (.f64 eps eps)) #s(literal -4 binary64))) (fma.f64 (.f64 eps eps) (.f64 #s(literal 4/9 binary64) (.f64 eps eps)) #s(literal -4 binary64))) (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 eps (fma.f64 (.f64 eps eps) (.f64 #s(literal 4/9 binary64) (.f64 eps eps)) #s(literal -4 binary64))) (fma.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) #s(literal 8 binary64))) (fma.f64 eps (.f64 eps (.f64 #s(literal 4/9 binary64) (.f64 eps eps))) (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 4 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(+.f64 #s(literal -2 binary64) (.f64 eps (.f64 eps #s(literal -2/3 binary64))))
(+.f64 (.f64 eps (.f64 eps #s(literal -2/3 binary64))) #s(literal -2 binary64))
(+.f64 (/.f64 (.f64 #s(literal 4/9 binary64) (.f64 eps (.f64 eps (.f64 eps eps)))) (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 4/9 binary64) (.f64 eps (.f64 eps (.f64 eps eps)))) (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))
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(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps))))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps))))) #s(literal -512/1953125 binary64) #s(literal -512/19683 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 4/25 binary64)) #s(literal 4/15 binary64)) #s(literal 4/9 binary64)))) (-.f64 (fma.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps))))) #s(literal 64/15625 binary64) #s(literal 64/729 binary64)) (.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) #s(literal 64/3375 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps))))) #s(literal 64/15625 binary64) #s(literal -64/729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 4/25 binary64)) #s(literal 4/15 binary64)) #s(literal 4/9 binary64)))) (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/125 binary64)) #s(literal 8/27 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps))))) #s(literal 64/15625 binary64) #s(literal -64/729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64)))) (fma.f64 (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps)))) #s(literal 16/625 binary64) (fma.f64 (.f64 eps (.f64 eps (*.f64 eps eps))) #s(literal 16/225 binary64) #s(literal 16/81 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps)))) #s(literal 16/625 binary64) #s(literal -16/81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64)))) (fma.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal 4/25 binary64))) #s(literal 4/9 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -2/3 binary64) (.f64 (.f64 eps eps) #s(literal 2/5 binary64))) (-.f64 #s(literal 4/9 binary64) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal 4/25 binary64)))))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/125 binary64)) #s(literal -8/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) (-.f64 (.f64 (*.f64 eps eps) #s(literal 4/25 binary64)) #s(literal 4/15 binary64)) #s(literal 4/9 binary64))))
(.f64 (fma.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal 4/25 binary64))) #s(literal -4/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/125 binary64)) #s(literal -8/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 eps eps) (-.f64 (.f64 (*.f64 eps eps) #s(literal 4/25 binary64)) #s(literal 4/15 binary64)) #s(literal 4/9 binary64)))))
(.f64 (neg.f64 (fma.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal 4/25 binary64))) #s(literal -4/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal 2/5 binary64) #s(literal -2/3 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 4/25 binary64)) #s(literal 4/15 binary64)) #s(literal 4/9 binary64))) (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (*.f64 eps eps)) #s(literal -8/125 binary64)) #s(literal -8/27 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal 2/3 binary64))) (fma.f64 eps (.f64 eps (.f64 (*.f64 eps eps) #s(literal 4/25 binary64))) #s(literal -4/9 binary64)))
(.f64 (-.f64 #s(literal 4/9 binary64) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal 4/25 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2/3 binary64) (.f64 (*.f64 eps eps) #s(literal 2/5 binary64)))))
(.f64 (/.f64 (fma.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal 4/25 binary64))) #s(literal -4/9 binary64)) (fma.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal 4/25 binary64))) #s(literal -4/9 binary64))) (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/125 binary64)) #s(literal -8/27 binary64)) (fma.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps))))) #s(literal 64/15625 binary64) (.f64 (fma.f64 (.f64 eps eps) #s(literal -4/15 binary64) #s(literal 4/9 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -4/15 binary64) #s(literal 4/9 binary64)) (fma.f64 (.f64 eps eps) #s(literal -4/15 binary64) #s(literal 4/9 binary64)))))) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -4/15 binary64) #s(literal 4/9 binary64)) (-.f64 (fma.f64 (.f64 eps eps) #s(literal -4/15 binary64) #s(literal 4/9 binary64)) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal 4/25 binary64))))) (.f64 (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps)))) #s(literal 16/625 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/125 binary64)) #s(literal -8/27 binary64)) (.f64 (fma.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 4/25 binary64)) #s(literal 4/15 binary64)) #s(literal 4/9 binary64)) (+.f64 (fma.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal 4/25 binary64))) #s(literal -4/9 binary64)) (.f64 (.f64 eps eps) #s(literal 4/15 binary64))))) (+.f64 (fma.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal 4/25 binary64))) #s(literal -4/9 binary64)) (.f64 (.f64 eps eps) #s(literal 4/15 binary64))))
(.f64 (/.f64 (fma.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal 4/25 binary64))) #s(literal -4/9 binary64)) (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/125 binary64)) #s(literal 8/27 binary64))) (fma.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal 4/25 binary64))) (fma.f64 (*.f64 eps eps) #s(literal 4/15 binary64) #s(literal 4/9 binary64))))
(*.f64 eps #s(literal -2/5 binary64))
(*.f64 #s(literal -2/5 binary64) eps)

simplify223.0ms (3.4%)

Memory

22.3MiB live, 267.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 510×	`lower-fma.f64`
8 510×	`lower-fma.f32`
3 170×	`lower-*.f64`
3 170×	`lower-*.f32`
868×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	712
1	173	712
2	643	708
3	1823	704
4	3812	704
5	6777	704
0	8061	648

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* -2/3 (pow eps 2)) 2))
(* -2/3 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
-2
(- (* -2/3 (pow eps 2)) 2)
(- (* -2/3 (pow eps 2)) 2)
(- (* -2/3 (pow eps 2)) 2)
(* -2/3 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2/3 eps)
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* -2/5 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* -2/5 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
-2
(- (* -2/3 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(* -2/5 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* -2/5 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* -2/3 eps)
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(* -2/5 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/5 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
-2/3
(- (* -2/5 (pow eps 2)) 2/3)
(- (* -2/5 (pow eps 2)) 2/3)
(- (* -2/5 (pow eps 2)) 2/3)
(* -2/5 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/5 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)

Outputs
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* -2/3 (pow eps 3))
(.f64 eps (.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* -2/3 (pow eps 3))
(.f64 eps (.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
-2
#s(literal -2 binary64)
(- (* -2/3 (pow eps 2)) 2)
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(- (* -2/3 (pow eps 2)) 2)
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(- (* -2/3 (pow eps 2)) 2)
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(* -2/3 (pow eps 2))
(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(* -2/3 (pow eps 2))
(.f64 #s(literal -2/3 binary64) (.f64 eps eps))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(* -2/5 (pow eps 5))
(.f64 #s(literal -2/5 binary64) (.f64 (.f64 (.f64 eps eps) (*.f64 eps eps)) eps))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) eps) (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (.f64 eps eps))))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) eps) (+.f64 #s(literal -2/5 binary64) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 eps eps))) (*.f64 eps eps))))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) eps) (+.f64 #s(literal -2/5 binary64) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 eps eps))) (*.f64 eps eps))))
(* -2/5 (pow eps 5))
(.f64 #s(literal -2/5 binary64) (.f64 (.f64 (.f64 eps eps) (*.f64 eps eps)) eps))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) eps) (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (.f64 eps eps))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) eps) (+.f64 #s(literal -2/5 binary64) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 eps eps))) (*.f64 eps eps))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) eps) (+.f64 #s(literal -2/5 binary64) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 eps eps))) (*.f64 eps eps))))
-2
#s(literal -2 binary64)
(- (* -2/3 (pow eps 2)) 2)
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(* -2/5 (pow eps 4))
(.f64 eps (.f64 (.f64 eps eps) (.f64 eps #s(literal -2/5 binary64))))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(* -2/5 (pow eps 4))
(.f64 eps (.f64 (.f64 eps eps) (.f64 eps #s(literal -2/5 binary64))))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(* -2/3 eps)
(*.f64 eps #s(literal -2/3 binary64))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* eps (- (* -2/5 (pow eps 2)) 2/3))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -2/5 (pow eps 3))
(.f64 (.f64 eps eps) (*.f64 eps #s(literal -2/5 binary64)))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -2/5 (pow eps 3))
(.f64 (.f64 eps eps) (*.f64 eps #s(literal -2/5 binary64)))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
(* -1 (* (pow eps 3) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)))
-2/3
#s(literal -2/3 binary64)
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -2/5 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -2/5 binary64)))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -2/5 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -2/5 binary64)))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))

eval73.0ms (1.1%)

Memory: -0.6MiB live, 116.5MiB allocated
Compiler: Compiled 17 372 to 1 448 computations (91.7% saved)

prune97.0ms (1.5%)

Memory

1.2MiB live, 77.0MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	516	2	518
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	516	6	522

Accuracy

100.0%

Counts

522 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (.f64 eps (.f64 eps eps)) (.f64 #s(literal -2 binary64) eps))
▶	100.0%	(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64) (*.f64 #s(literal -2 binary64) eps))
✓	100.0%	(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
✓	100.0%	(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
✓	99.0%	(*.f64 #s(literal -2 binary64) eps)
✓	5.3%	#s(literal 0 binary64)

Compiler

Compiled 56 to 37 computations (33.9% saved)

simplify12.0ms (0.2%)

Memory

-22.3MiB live, 15.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 eps (.f64 eps eps))
✓	cost-diff	0	(*.f64 eps #s(literal -2/5 binary64))
✓	cost-diff	0	(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
✓	cost-diff	320	(fma.f64 (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (.f64 eps (.f64 eps eps)) (.f64 #s(literal -2 binary64) eps))
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) eps)
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 eps (.f64 eps eps))
✓	cost-diff	320	(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64) (*.f64 #s(literal -2 binary64) eps))

Rules

232×	`lower-fma.f32`
226×	`lower-fma.f64`
144×	`lower-*.f32`
136×	`lower-*.f64`
78×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	63
0	21	55
1	37	55
2	65	55
3	132	55
4	234	55
5	247	55
0	247	55

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64) (*.f64 #s(literal -2 binary64) eps))
(.f64 eps (.f64 eps eps))
eps
(*.f64 eps eps)
#s(literal -2/3 binary64)
(*.f64 #s(literal -2 binary64) eps)
#s(literal -2 binary64)
(fma.f64 (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (.f64 eps (.f64 eps eps)) (.f64 #s(literal -2 binary64) eps))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
eps
(*.f64 eps #s(literal -2/5 binary64))
#s(literal -2/5 binary64)
#s(literal -2/3 binary64)
(.f64 eps (.f64 eps eps))
(*.f64 eps eps)
(*.f64 #s(literal -2 binary64) eps)
#s(literal -2 binary64)

Outputs
(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64) (*.f64 #s(literal -2 binary64) eps))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(.f64 eps (.f64 eps eps))
eps
(*.f64 eps eps)
#s(literal -2/3 binary64)
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps #s(literal -2 binary64))
#s(literal -2 binary64)
(fma.f64 (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (.f64 eps (.f64 eps eps)) (.f64 #s(literal -2 binary64) eps))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
eps
(*.f64 eps #s(literal -2/5 binary64))
#s(literal -2/5 binary64)
#s(literal -2/3 binary64)
(.f64 eps (.f64 eps eps))
(*.f64 eps eps)
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps #s(literal -2 binary64))
#s(literal -2 binary64)

localize51.0ms (0.8%)

Memory

14.7MiB live, 56.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) eps)
✓	accuracy	100.0%	(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
✓	accuracy	99.8%	(.f64 eps (.f64 eps eps))
✓	accuracy	99.5%	(*.f64 eps #s(literal -2/5 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64) (*.f64 #s(literal -2 binary64) eps))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) eps)
✓	accuracy	99.8%	(.f64 eps (.f64 eps eps))

Samples

29.0ms

256×

valid

Compiler

Compiled 69 to 16 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 11.0ms (53.8% of total)

const: 6.0ms (29.3% of total)

ival-add: 3.0ms (14.7% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

7 → 84

Calls

Call 1

Inputs
#<alt (fma.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64) (*.f64 #s(literal -2 binary64) eps))>
#<alt (.f64 eps (.f64 eps eps))>
#<alt (*.f64 eps eps)>
#<alt (*.f64 #s(literal -2 binary64) eps)>
#<alt (fma.f64 (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (.f64 eps (.f64 eps eps)) (.f64 #s(literal -2 binary64) eps))>
#<alt (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))>
#<alt (*.f64 eps #s(literal -2/5 binary64))>

Outputs
#<alt (* -2 eps)>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* -2/3 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -2/3 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))>
#<alt (* -2/5 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* -2/5 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))>
#<alt (* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))>
#<alt -2/3>
#<alt (- (* -2/5 (pow eps 2)) 2/3)>
#<alt (- (* -2/5 (pow eps 2)) 2/3)>
#<alt (- (* -2/5 (pow eps 2)) 2/3)>
#<alt (* -2/5 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -2/5 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>
#<alt (* -2/5 eps)>

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	inf	(+ (* (* eps (* eps eps)) -2/3) (* -2 eps))
0.0ms	eps	@	0	(+ (* (* eps (* eps eps)) -2/3) (* -2 eps))
0.0ms	eps	@	-inf	(* eps (* eps eps))
0.0ms	eps	@	-inf	(+ (* (+ (* eps (* eps -2/5)) -2/3) (* eps (* eps eps))) (* -2 eps))
0.0ms	eps	@	inf	(+ (* (+ (* eps (* eps -2/5)) -2/3) (* eps (* eps eps))) (* -2 eps))

rewrite389.0ms (6%)

Memory

4.5MiB live, 513.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 724×	`lower-fma.f32`
11 718×	`lower-fma.f64`
5 980×	`lower-*.f32`
5 972×	`lower-*.f64`
2 360×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
0	21	39
1	75	39
2	544	39
3	6646	39
0	8295	39

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

7 → 325

Calls

Call 1

Inputs
(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64) (*.f64 #s(literal -2 binary64) eps))
(.f64 eps (.f64 eps eps))
(*.f64 eps eps)
(*.f64 #s(literal -2 binary64) eps)
(fma.f64 (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (.f64 eps (.f64 eps eps)) (.f64 #s(literal -2 binary64) eps))
(fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))
(*.f64 eps #s(literal -2/5 binary64))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))))) #s(literal -1 binary64)))
(+.f64 (.f64 eps #s(literal -2 binary64)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64)))
(+.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64)) (.f64 eps #s(literal -2 binary64)))
(+.f64 (/.f64 (.f64 eps (.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/9 binary64))) eps)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (.f64 eps (.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/9 binary64))) eps)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (-.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) #s(literal -2/3 binary64))))) (/.f64 (.f64 eps (.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/9 binary64))) eps)) (.f64 eps (-.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) #s(literal -2/3 binary64))))))
(fma.f64 eps #s(literal -2 binary64) (.f64 (.f64 eps (*.f64 eps eps)) #s(literal -2/3 binary64)))
(fma.f64 eps (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 eps (/.f64 (.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/9 binary64))) eps) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
(fma.f64 (.f64 eps eps) (.f64 eps #s(literal -2/3 binary64)) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (.f64 eps eps) (/.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/9 binary64))) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (.f64 eps (.f64 eps eps)) (/.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/9 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
(fma.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps eps)) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 #s(literal -2/3 binary64) (/.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64)))) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
(fma.f64 #s(literal -2 binary64) eps (.f64 (.f64 eps (*.f64 eps eps)) #s(literal -2/3 binary64)))
(fma.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64)) (/.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
(fma.f64 #s(literal 4/9 binary64) (/.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
(fma.f64 (.f64 eps (.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/9 binary64))) eps)) (/.f64 #s(literal 1 binary64) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
(fma.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) eps (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (/.f64 #s(literal 4/9 binary64) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 eps #s(literal 3/2 binary64)) (.f64 (pow.f64 eps #s(literal 3/2 binary64)) #s(literal -2/3 binary64)) (.f64 eps #s(literal -2 binary64)))
(fma.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64))) (/.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
(fma.f64 (.f64 eps #s(literal -2/3 binary64)) (.f64 eps eps) (*.f64 eps #s(literal -2 binary64)))
(fma.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/9 binary64)) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
(fma.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64)))) (/.f64 #s(literal -2/3 binary64) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
(fma.f64 (/.f64 eps eps) (/.f64 (.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/9 binary64))) eps) (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (.f64 eps eps) eps) (/.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/9 binary64))) (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (.f64 eps (.f64 eps eps)) eps) (/.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/9 binary64)) (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal -2/3 binary64) eps) (/.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64)))) (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64)) eps) (/.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64)) (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 4/9 binary64) eps) (/.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) eps) (/.f64 #s(literal 4/9 binary64) (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64))) eps) (/.f64 (.f64 (.f64 eps eps) #s(literal -2/3 binary64)) (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64)))) eps) (/.f64 #s(literal -2/3 binary64) (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/9 binary64)) eps) (/.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
(fma.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 3/2 binary64))) (pow.f64 eps #s(literal 3/2 binary64)) (.f64 eps #s(literal -2 binary64)))
(fma.f64 (/.f64 (.f64 eps (.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/9 binary64))) eps)) (.f64 (.f64 eps eps) (-.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/9 binary64))) #s(literal 4 binary64)))) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))) (neg.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (.f64 eps (.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/9 binary64))) eps)) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps))))) #s(literal -8 binary64)))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/9 binary64)) #s(literal 4 binary64)) (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/3 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 4 binary64)) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) #s(literal -8 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))) (.f64 (*.f64 eps eps) #s(literal 4 binary64))))))
(neg.f64 (/.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/9 binary64))) #s(literal 4 binary64))) (neg.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (neg.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) #s(literal -8 binary64)))) (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))) (.f64 (*.f64 eps eps) #s(literal 4 binary64)))))
(neg.f64 (/.f64 (neg.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/9 binary64))) #s(literal 4 binary64)))) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) #s(literal -8 binary64))) (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))) (.f64 (*.f64 eps eps) #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/9 binary64))) #s(literal 4 binary64))) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (-.f64 #s(literal -2 binary64) (.f64 (.f64 eps eps) #s(literal -2/3 binary64)))) (.f64 (.f64 eps eps) (-.f64 #s(literal 4 binary64) (.f64 eps (.f64 (.f64 eps (*.f64 eps eps)) #s(literal 4/9 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal -8/27 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) #s(literal -8 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))) (.f64 (*.f64 eps eps) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/9 binary64))) #s(literal 4 binary64)))) (neg.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64)))))
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(.f64 (/.f64 (fma.f64 #s(literal 4/25 binary64) (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -4/9 binary64)) (fma.f64 #s(literal 4/25 binary64) (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -4/9 binary64))) (fma.f64 (.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/125 binary64)) #s(literal -8/27 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -4/15 binary64) #s(literal 4/9 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -4/15 binary64) #s(literal 4/9 binary64)) (fma.f64 (.f64 eps eps) #s(literal -4/15 binary64) #s(literal 4/9 binary64))) (.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps))))) #s(literal 64/15625 binary64)))) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -4/15 binary64) #s(literal 4/9 binary64)) (-.f64 (fma.f64 (.f64 eps eps) #s(literal -4/15 binary64) #s(literal 4/9 binary64)) (.f64 #s(literal 4/25 binary64) (.f64 eps (.f64 eps (.f64 eps eps))))) (.f64 (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps)))) #s(literal 16/625 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/125 binary64)) #s(literal -8/27 binary64)) (.f64 (fma.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 4/25 binary64)) #s(literal 4/15 binary64)) #s(literal 4/9 binary64)) (+.f64 (fma.f64 #s(literal 4/25 binary64) (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -4/9 binary64)) (.f64 eps (.f64 eps #s(literal 4/15 binary64)))))) (+.f64 (fma.f64 #s(literal 4/25 binary64) (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -4/9 binary64)) (.f64 eps (.f64 eps #s(literal 4/15 binary64)))))
(.f64 (/.f64 (fma.f64 #s(literal 4/25 binary64) (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal -4/9 binary64)) (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -8/125 binary64)) #s(literal 8/27 binary64))) (fma.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal 4/25 binary64))) (fma.f64 (*.f64 eps eps) #s(literal 4/15 binary64) #s(literal 4/9 binary64))))
(*.f64 eps #s(literal -2/5 binary64))
(*.f64 #s(literal -2/5 binary64) eps)

simplify270.0ms (4.2%)

Memory

-15.3MiB live, 347.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 480×	`lower-fma.f64`
12 480×	`lower-fma.f32`
3 858×	`lower-*.f64`
3 858×	`lower-*.f32`
1 374×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	460
1	126	460
2	433	456
3	1271	454
4	2725	454
5	5794	454
0	8074	431

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* -2/3 (pow eps 2)) 2))
(* -2/3 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* -2/5 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* -2/5 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
-2/3
(- (* -2/5 (pow eps 2)) 2/3)
(- (* -2/5 (pow eps 2)) 2/3)
(- (* -2/5 (pow eps 2)) 2/3)
(* -2/5 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/5 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)
(* -2/5 eps)

Outputs
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* -2/3 (pow eps 3))
(.f64 eps (.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* -2/3 (pow eps 3))
(.f64 eps (.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(* -2/5 (pow eps 5))
(.f64 eps (.f64 #s(literal -2/5 binary64) (.f64 eps (.f64 eps (*.f64 eps eps)))))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (.f64 eps eps))))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(.f64 (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (+.f64 #s(literal -2/5 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (.f64 eps eps))) (*.f64 eps eps))))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(.f64 (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (+.f64 #s(literal -2/5 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (.f64 eps eps))) (*.f64 eps eps))))
(* -2/5 (pow eps 5))
(.f64 eps (.f64 #s(literal -2/5 binary64) (.f64 eps (.f64 eps (*.f64 eps eps)))))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(.f64 (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (+.f64 #s(literal -2/5 binary64) (/.f64 #s(literal -2/3 binary64) (.f64 eps eps))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(.f64 (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (+.f64 #s(literal -2/5 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (.f64 eps eps))) (*.f64 eps eps))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(.f64 (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (+.f64 #s(literal -2/5 binary64) (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (.f64 eps eps))) (*.f64 eps eps))))
-2/3
#s(literal -2/3 binary64)
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))
(- (* -2/5 (pow eps 2)) 2/3)
(fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))
(* -2/5 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -2/5 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))
(* -2/5 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -2/5 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(fma.f64 (*.f64 eps eps) #s(literal -2/5 binary64) #s(literal -2/3 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))

eval59.0ms (0.9%)

Memory: 18.1MiB live, 96.2MiB allocated
Compiler: Compiled 16 471 to 937 computations (94.3% saved)

prune44.0ms (0.7%)

Memory

15.9MiB live, 92.7MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	466	0	466
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	466	6	472

Accuracy

100.0%

Counts

472 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (.f64 eps (.f64 eps eps)) (.f64 #s(literal -2 binary64) eps))
✓	100.0%	(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64) (*.f64 #s(literal -2 binary64) eps))
✓	100.0%	(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
✓	100.0%	(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
✓	99.0%	(*.f64 #s(literal -2 binary64) eps)
✓	5.3%	#s(literal 0 binary64)

Compiler

Compiled 115 to 60 computations (47.8% saved)

regimes9.0ms (0.1%)

Memory

-24.8MiB live, 13.5MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) eps)
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64) (*.f64 #s(literal -2 binary64) eps))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(fma.f64 (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (.f64 eps (.f64 eps eps)) (.f64 #s(literal -2 binary64) eps))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Outputs
(fma.f64 (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (.f64 eps (.f64 eps eps)) (.f64 #s(literal -2 binary64) eps))

Calls

3 calls:

3.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
3.0ms	eps
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))

Results

Accuracy	Segments	Branch
100.0%	1	`eps`
100.0%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes6.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) eps)
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64) (*.f64 #s(literal -2 binary64) eps))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))

Outputs
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))

Calls

3 calls:

2.0ms	eps
2.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))

Results

Accuracy	Segments	Branch
100.0%	1	`eps`
100.0%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes5.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) eps)
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal -2/3 binary64) (*.f64 #s(literal -2 binary64) eps))

Outputs
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))

Calls

3 calls:

2.0ms	eps
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
2.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Results

Accuracy	Segments	Branch
100.0%	1	`eps`
100.0%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes4.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) eps)

Outputs
(*.f64 #s(literal -2 binary64) eps)

Calls

3 calls:

1.0ms	eps
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
1.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))

Results

Accuracy	Segments	Branch
99.0%	1	`eps`
99.0%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
99.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes6.0ms (0.1%)

Memory

-35.5MiB live, 7.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

3 calls:

4.0ms	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
1.0ms	eps
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))

Results

Accuracy	Segments	Branch
5.3%	1	`eps`
5.3%	1	`(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))`
5.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify6.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	40
1	24	40

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (.f64 eps (.f64 eps eps)) (.f64 #s(literal -2 binary64) eps))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) eps)
#s(literal 0 binary64)

Outputs
(fma.f64 (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (.f64 eps (.f64 eps eps)) (.f64 #s(literal -2 binary64) eps))
(fma.f64 (fma.f64 eps (.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64)) (.f64 eps (.f64 eps eps)) (.f64 eps #s(literal -2 binary64)))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/5 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps #s(literal -2 binary64))
#s(literal 0 binary64)

soundness771.0ms (11.9%)

Memory

0.4MiB live, 351.8MiB allocated

Rules

8 508×	`lower-fma.f64`
8 508×	`lower-fma.f32`
6 870×	`lower-fma.f32`
6 864×	`lower-fma.f64`
4 904×	`lower-*.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	21
0	10	21
1	44	21
2	328	21
3	4559	8
0	10096	8
0	89	295
1	220	282
2	488	274
3	1301	270
4	2859	270
5	6046	270
0	8576	258
0	13	61
0	25	61
1	95	61
2	595	61
3	5747	61
0	8100	61

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 98 to 54 computations (44.9% saved)

preprocess40.0ms (0.6%)

Memory: 28.0MiB live, 66.0MiB allocated
Compiler: Compiled 114 to 56 computations (50.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	19
1	22	17
2	44	17
3	89	17
4	158	17
5	326	17
6	593	17
7	616	17
0	6	8
0	10	8
1	18	8
2	24	8
3	35	8
4	58	8
5	92	8
6	129	8
7	202	8
8	322	8
9	492	8
10	528	8
0	528	8

Iter	Nodes	Cost
0	6	23
0	10	23
1	18	23
2	24	23
3	35	23
4	58	23
5	92	23
6	129	23
7	202	23
8	322	23
9	492	23
10	528	23
0	528	23

Iter	Nodes	Cost
0	8	19
1	22	17
2	44	17
3	89	17
4	158	17
5	326	17
6	593	17
7	616	17
0	6	8
0	10	8
1	18	8
2	24	8
3	35	8
4	58	8
5	92	8
6	129	8
7	202	8
8	322	8
9	492	8
10	528	8
0	528	8

Iter	Nodes	Cost
0	6	23
0	10	23
1	18	23
2	24	23
3	35	23
4	58	23
5	92	23
6	129	23
7	202	23
8	322	23
9	492	23
10	528	23
0	528	23

analyze3.0ms (0%)

sample3.0s (45.8%)

preprocess35.0ms (0.5%)

explain241.0ms (3.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.3%)

localize75.0ms (1.2%)

series3.0ms (0%)

rewrite198.0ms (3%)

simplify372.0ms (5.7%)

eval64.0ms (1%)

prune48.0ms (0.7%)

simplify11.0ms (0.2%)

localize57.0ms (0.9%)

series13.0ms (0.2%)

rewrite313.0ms (4.8%)

simplify223.0ms (3.4%)

eval73.0ms (1.1%)

prune97.0ms (1.5%)

simplify12.0ms (0.2%)

localize51.0ms (0.8%)

series3.0ms (0%)

rewrite389.0ms (6%)

simplify270.0ms (4.2%)

eval59.0ms (0.9%)

prune44.0ms (0.7%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

simplify6.0ms (0.1%)

soundness771.0ms (11.9%)

preprocess40.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	19
1	22	17
2	44	17
3	89	17
4	158	17
5	326	17
6	593	17
7	616	17
0	6	8
0	10	8
1	18	8
2	24	8
3	35	8
4	58	8
5	92	8
6	129	8
7	202	8
8	322	8
9	492	8
10	528	8
0	528	8

Iter	Nodes	Cost
0	6	23
0	10	23
1	18	23
2	24	23
3	35	23
4	58	23
5	92	23
6	129	23
7	202	23
8	322	23
9	492	23
10	528	23
0	528	23